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Finding the Third Proportional to 332,134.50 and 512,932.50

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Solution

The third proportional to 332,134.50 and 512,932.50 is: 792,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,134.50 : 512,932.50 = 512,932.50 : x
  2. Step 2: Convert to fraction form
    332,134.50/512,932.50 = 512,932.50/x
  3. Step 3: Cross multiply
    332,134.50x = 512,932.50 × 512,932.50
  4. Step 4: Simplify right side
    332,134.50x = 263,099,749,556.25
  5. Step 5: Solve for x
    x = 263,099,749,556.25/332,134.50
  6. Step 6: Final answer
    x = 792,148.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.